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## Main Question or Discussion Point

Hi, I am having a major brain fart.

I realize that for example, open intervals and R are all topologically equivalent.

Similarly, closed, bounded intervals are topologically equivalent

And half open intervals and closed unbounded intervals are equivalent

But I am having a difficult time coming up with actual functions. For example, what is a function that would be a homeomorphism from (-1,5) --> R ?

I would REALLY appreciate some help here as my final is tomorrow morning!

Thanks!

I realize that for example, open intervals and R are all topologically equivalent.

Similarly, closed, bounded intervals are topologically equivalent

And half open intervals and closed unbounded intervals are equivalent

But I am having a difficult time coming up with actual functions. For example, what is a function that would be a homeomorphism from (-1,5) --> R ?

I would REALLY appreciate some help here as my final is tomorrow morning!

Thanks!